---
title: "A \\( 1.5 \\; \\text{kg} \\) mass attached to a spring with a force constant of \\( 20.0 \\; \\text{N/m} \\) oscillates on a horizontal, frictionless track. At \\( t = 0 \\), the mass is released from rest at \\( x = 10.0 \\; \\text{cm} \\). (That is, the spring is stretched by \\( 10.00 \\; \\text{cm} \\).)"
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url: "https://nerd-notes.com/ubq/81711/"
date_modified: "2025-03-13T12:32:40+00:00"
---

# A \( 1.5 \; \text{kg} \) mass attached to a spring with a force constant of \( 20.0 \; \text{N/m} \) oscillates on a horizontal, frictionless track. At \( t = 0 \), the mass is released from rest at \( x = 10.0 \; \text{cm} \). (That is, the spring is stretched by \( 10.00 \; \text{cm} \).)

A \( 1.5 \; \text{kg} \) mass attached to a spring with a force constant of \( 20.0 \; \text{N/m} \) oscillates on a horizontal, frictionless track. At \( t = 0 \), the mass is released from rest at \( x = 10.0 \; \text{cm} \). (That is, the spring is stretched by \( 10.00 \; \text{cm} \).)

**Part a)** Determine the frequency of the oscillations. *(3 points)*

**Part b)** Determine the maximum speed of the mass. Where does the maximum speed occur? *(3 points)*

**Part c)** Determine the maximum acceleration of the mass. Where does the maximum acceleration occur? *(3 points)*

**Part d)** Determine the total energy of the oscillating system. *(3 points)*

**Part e)** Express the displacement as a function of time. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81711/*